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        Module&nbsp;usefulGeo
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<h1 class="epydoc">Source Code for <a href="Priithon.usefulGeo-module.html">Module Priithon.usefulGeo</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-docstring">a bunch of 2d geometry functions</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-docstring">points are always defined as y,x tuples or numpy arrays</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-docstring">segments are sequences of pairs-of-nodes</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-docstring">boxes are a sequence of two diagonal edge-points</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">__future__</tt> <tt class="py-keyword">import</tt> <tt class="py-name">absolute_import</tt> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"> </tt>
<a name="geoPointsEq"></a><div id="geoPointsEq-def"><a name="L10"></a><tt class="py-lineno"> 10</tt> <a class="py-toggle" href="#" id="geoPointsEq-toggle" onclick="return toggle('geoPointsEq');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoPointsEq">geoPointsEq</a><tt class="py-op">(</tt><tt class="py-param">yx0</tt><tt class="py-op">,</tt> <tt class="py-param">yx1</tt><tt class="py-op">,</tt> <tt class="py-param">eps</tt><tt class="py-op">=</tt><tt class="py-number">1e-2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoPointsEq-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoPointsEq-expanded"><a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring">    are two points equal </tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring">      (within eps distance, x,y separately)</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line">    <tt class="py-name">d0</tt> <tt class="py-op">=</tt> <tt class="py-name">yx0</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> <tt class="py-op">-</tt> <tt class="py-name">yx1</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line">    <tt class="py-name">d1</tt> <tt class="py-op">=</tt> <tt class="py-name">yx0</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> <tt class="py-op">-</tt> <tt class="py-name">yx1</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">d0</tt><tt class="py-op">)</tt><tt class="py-op">&lt;</tt><tt class="py-name">eps</tt> <tt class="py-keyword">and</tt> <tt class="py-name">abs</tt><tt class="py-op">(</tt><tt class="py-name">d1</tt><tt class="py-op">)</tt><tt class="py-op">&lt;</tt><tt class="py-name">eps</tt> </tt>
</div><a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"> </tt>
<a name="geoSegEqOpposite"></a><div id="geoSegEqOpposite-def"><a name="L20"></a><tt class="py-lineno"> 20</tt> <a class="py-toggle" href="#" id="geoSegEqOpposite-toggle" onclick="return toggle('geoSegEqOpposite');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoSegEqOpposite">geoSegEqOpposite</a><tt class="py-op">(</tt><tt class="py-param">s0</tt><tt class="py-op">,</tt><tt class="py-param">s1</tt><tt class="py-op">,</tt> <tt class="py-param">eps</tt><tt class="py-op">=</tt><tt class="py-number">1e-2</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoSegEqOpposite-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoSegEqOpposite-expanded"><a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"><tt class="py-docstring">    are two segments equals and oppositely directed</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-0" class="py-name" targets="Function Priithon.usefulGeo.geoPointsEq()=Priithon.usefulGeo-module.html#geoPointsEq"><a title="Priithon.usefulGeo.geoPointsEq" class="py-name" href="#" onclick="return doclink('link-0', 'geoPointsEq', 'link-0');">geoPointsEq</a></tt><tt class="py-op">(</tt><tt class="py-name">s0</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">s1</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">eps</tt><tt class="py-op">)</tt> <tt class="py-keyword">and</tt> <tt id="link-1" class="py-name"><a title="Priithon.usefulGeo.geoPointsEq" class="py-name" href="#" onclick="return doclink('link-1', 'geoPointsEq', 'link-0');">geoPointsEq</a></tt><tt class="py-op">(</tt><tt class="py-name">s0</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">,</tt><tt class="py-name">s1</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-name">eps</tt><tt class="py-op">)</tt> </tt>
</div><a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"> </tt>
<a name="geoPointSeqSide"></a><div id="geoPointSeqSide-def"><a name="L26"></a><tt class="py-lineno"> 26</tt> <a class="py-toggle" href="#" id="geoPointSeqSide-toggle" onclick="return toggle('geoPointSeqSide');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoPointSeqSide">geoPointSeqSide</a><tt class="py-op">(</tt><tt class="py-param">p</tt><tt class="py-op">,</tt> <tt class="py-param">seg</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoPointSeqSide-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoPointSeqSide-expanded"><a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"><tt class="py-docstring">    determine on which side of a segment a given point lies</tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"><tt class="py-docstring">    http://astronomy.swin.edu.au/~pbourke/geometry/insidepoly/</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"><tt class="py-docstring">    Given a line segment between P0 (x0,y0) and P1 (x1,y1), another point P (x,y) has the following relationship to the line segment. </tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line"><tt class="py-docstring">    Compute </tt> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"><tt class="py-docstring">     (y - y0) (x1 - x0) - (x - x0) (y1 - y0)</tt> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line"><tt class="py-docstring">    if it is less than 0 then P is to the right of the line segment, if greater than 0 it is to the left, if equal to 0 then it lies on the line segment.</tt> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line">    <tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-2" class="py-name" targets="Variable Priithon.viewer.x=Priithon.viewer-module.html#x,Variable Priithon.viewer2.x=Priithon.viewer2-module.html#x,Variable Priithon.viewerCommon.x=Priithon.viewerCommon-module.html#x"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-2', 'x', 'link-2');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">p</tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line">    <tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt> <tt class="py-op">=</tt> <tt class="py-name">seg</tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line"> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">y</tt> <tt class="py-op">-</tt> <tt class="py-name">y0</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">x1</tt> <tt class="py-op">-</tt> <tt class="py-name">x0</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt id="link-3" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-3', 'x', 'link-2');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt> <tt class="py-op">-</tt> <tt class="py-name">y0</tt><tt class="py-op">)</tt> </tt>
</div><a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line"> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line"><tt class="py-comment">#todo: U.mm([e.sidePointSeg(yx,seg) for seg in segs])</tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">#   but need to take "inward corners" into account to tell if inside polygon IF not CONVEX</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="geoBoxToSegs"></a><div id="geoBoxToSegs-def"><a name="L47"></a><tt class="py-lineno"> 47</tt> <a class="py-toggle" href="#" id="geoBoxToSegs-toggle" onclick="return toggle('geoBoxToSegs');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoBoxToSegs">geoBoxToSegs</a><tt class="py-op">(</tt><tt class="py-param">edges</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoBoxToSegs-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoBoxToSegs-expanded"><a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line"><tt class="py-docstring">    return list of 4 seqments of box defined by its two edges</tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line">    <tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt> <tt class="py-op">=</tt> <tt class="py-name">edges</tt> </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">y0</tt><tt class="py-op">&gt;</tt><tt class="py-name">y1</tt><tt class="py-op">:</tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line">        <tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">y1</tt> <tt class="py-op">=</tt> <tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">y0</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">x0</tt><tt class="py-op">&gt;</tt><tt class="py-name">x1</tt><tt class="py-op">:</tt> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line">        <tt class="py-name">x0</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt> <tt class="py-op">=</tt> <tt class="py-name">x1</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line"> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line">            <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line">            <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line">            <tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
</div><a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line"> </tt>
<a name="geoPointLineDist"></a><div id="geoPointLineDist-def"><a name="L62"></a><tt class="py-lineno"> 62</tt> <a class="py-toggle" href="#" id="geoPointLineDist-toggle" onclick="return toggle('geoPointLineDist');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoPointLineDist">geoPointLineDist</a><tt class="py-op">(</tt><tt class="py-param">p</tt><tt class="py-op">,</tt> <tt class="py-param">seg</tt><tt class="py-op">,</tt> <tt class="py-param">testSegmentEnds</tt><tt class="py-op">=</tt><tt id="link-4" class="py-name" targets="Variable Priithon.wxPyPlot.False=Priithon.wxPyPlot-module.html#False"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-4', 'False', 'link-4');">False</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoPointLineDist-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoPointLineDist-expanded"><a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line"><tt class="py-docstring">    Minimum Distance between a Point and a Line</tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line"><tt class="py-docstring">    Written by Paul Bourke,    October 1988</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-docstring">    http://astronomy.swin.edu.au/~pbourke/geometry/pointline/</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">import</tt> <tt id="link-5" class="py-name" targets="Variable Priithon.mandel.sqrt=Priithon.mandel-module.html#sqrt,Variable Priithon.plt.interface.sqrt=Priithon.plt.interface-module.html#sqrt,Variable Priithon.plt.plot_objects.sqrt=Priithon.plt.plot_objects-module.html#sqrt,Variable Priithon.plt.plot_utility.sqrt=Priithon.plt.plot_utility-module.html#sqrt,Variable Priithon.plt.sqrt=Priithon.plt-module.html#sqrt,Variable Priithon.plt.wxplt.sqrt=Priithon.plt.wxplt-module.html#sqrt"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-5', 'sqrt', 'link-5');">sqrt</a></tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line">    <tt class="py-name">y3</tt><tt class="py-op">,</tt><tt class="py-name">x3</tt> <tt class="py-op">=</tt> <tt class="py-name">p</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line">    <tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y2</tt><tt class="py-op">,</tt><tt class="py-name">x2</tt><tt class="py-op">)</tt> <tt class="py-op">=</tt> <tt class="py-name">seg</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line"> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line">    <tt class="py-name">dx21</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">x2</tt><tt class="py-op">-</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt> </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line">    <tt class="py-name">dy21</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">y2</tt><tt class="py-op">-</tt><tt class="py-name">y1</tt><tt class="py-op">)</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">     </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line">    <tt class="py-name">lensq21</tt> <tt class="py-op">=</tt> <tt class="py-name">dx21</tt><tt class="py-op">*</tt><tt class="py-name">dx21</tt> <tt class="py-op">+</tt> <tt class="py-name">dy21</tt><tt class="py-op">*</tt><tt class="py-name">dy21</tt> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">lensq21</tt> <tt class="py-op">==</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line">        <tt class="py-comment">#20080821 raise ValueError, "zero length line segment"</tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line"><tt class="py-comment"></tt>        <tt class="py-name">dy</tt> <tt class="py-op">=</tt> <tt class="py-name">y3</tt><tt class="py-op">-</tt><tt class="py-name">y1</tt>  </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line">        <tt class="py-name">dx</tt> <tt class="py-op">=</tt> <tt class="py-name">x3</tt><tt class="py-op">-</tt><tt class="py-name">x1</tt>  </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-6" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-6', 'sqrt', 'link-5');">sqrt</a></tt><tt class="py-op">(</tt> <tt class="py-name">dx</tt><tt class="py-op">*</tt><tt class="py-name">dx</tt> <tt class="py-op">+</tt> <tt class="py-name">dy</tt><tt class="py-op">*</tt><tt class="py-name">dy</tt> <tt class="py-op">)</tt>  <tt class="py-comment"># return point to point distance</tt> </tt>
<a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line"> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line">    <tt class="py-name">u</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">x3</tt><tt class="py-op">-</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">dx21</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">y3</tt><tt class="py-op">-</tt><tt class="py-name">y1</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">dy21</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">    <tt class="py-name">u</tt> <tt class="py-op">=</tt> <tt class="py-name">u</tt> <tt class="py-op">/</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">lensq21</tt><tt class="py-op">)</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line"> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line"> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line">    <tt id="link-7" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-7', 'x', 'link-2');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">x1</tt><tt class="py-op">+</tt> <tt class="py-name">u</tt> <tt class="py-op">*</tt> <tt class="py-name">dx21</tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line">    <tt class="py-name">y</tt> <tt class="py-op">=</tt> <tt class="py-name">y1</tt><tt class="py-op">+</tt> <tt class="py-name">u</tt> <tt class="py-op">*</tt> <tt class="py-name">dy21</tt>     </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line"> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">testSegmentEnds</tt><tt class="py-op">:</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">u</tt> <tt class="py-op">&lt;</tt> <tt class="py-number">0</tt><tt class="py-op">:</tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line">            <tt id="link-8" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-8', 'x', 'link-2');">x</a></tt><tt class="py-op">,</tt><tt class="py-name">y</tt> <tt class="py-op">=</tt> <tt class="py-name">x1</tt><tt class="py-op">,</tt><tt class="py-name">y1</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">u</tt> <tt class="py-op">&gt;</tt><tt class="py-number">1</tt><tt class="py-op">:</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line">            <tt id="link-9" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-9', 'x', 'link-2');">x</a></tt><tt class="py-op">,</tt><tt class="py-name">y</tt> <tt class="py-op">=</tt> <tt class="py-name">x2</tt><tt class="py-op">,</tt><tt class="py-name">y2</tt> </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">     </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line"> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line">    <tt class="py-name">dx30</tt> <tt class="py-op">=</tt> <tt class="py-name">x3</tt><tt class="py-op">-</tt><tt id="link-10" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-10', 'x', 'link-2');">x</a></tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line">    <tt class="py-name">dy30</tt> <tt class="py-op">=</tt> <tt class="py-name">y3</tt><tt class="py-op">-</tt><tt class="py-name">y</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line"> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-11" class="py-name"><a title="Priithon.mandel.sqrt
Priithon.plt.interface.sqrt
Priithon.plt.plot_objects.sqrt
Priithon.plt.plot_utility.sqrt
Priithon.plt.sqrt
Priithon.plt.wxplt.sqrt" class="py-name" href="#" onclick="return doclink('link-11', 'sqrt', 'link-5');">sqrt</a></tt><tt class="py-op">(</tt> <tt class="py-name">dx30</tt><tt class="py-op">*</tt><tt class="py-name">dx30</tt> <tt class="py-op">+</tt> <tt class="py-name">dy30</tt><tt class="py-op">*</tt><tt class="py-name">dy30</tt> <tt class="py-op">)</tt> </tt>
</div><a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line"> </tt>
<a name="geoPointSegsDist"></a><div id="geoPointSegsDist-def"><a name="L102"></a><tt class="py-lineno">102</tt> <a class="py-toggle" href="#" id="geoPointSegsDist-toggle" onclick="return toggle('geoPointSegsDist');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoPointSegsDist">geoPointSegsDist</a><tt class="py-op">(</tt><tt class="py-param">p</tt><tt class="py-op">,</tt> <tt class="py-param">segs</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoPointSegsDist-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoPointSegsDist-expanded"><a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line"><tt class="py-docstring">    smallest distance of a point to a sequence of line segments</tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-12" class="py-name" targets="Function Priithon.useful.min()=Priithon.useful-module.html#min"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-12', 'min', 'link-12');">min</a></tt><tt class="py-op">(</tt><tt class="py-op">[</tt><tt id="link-13" class="py-name" targets="Function Priithon.usefulGeo.geoPointLineDist()=Priithon.usefulGeo-module.html#geoPointLineDist"><a title="Priithon.usefulGeo.geoPointLineDist" class="py-name" href="#" onclick="return doclink('link-13', 'geoPointLineDist', 'link-13');">geoPointLineDist</a></tt><tt class="py-op">(</tt><tt class="py-name">p</tt><tt class="py-op">,</tt><tt class="py-name">seg</tt><tt class="py-op">,</tt> <tt id="link-14" class="py-name" targets="Variable Priithon.wxPyPlot.True=Priithon.wxPyPlot-module.html#True"><a title="Priithon.wxPyPlot.True" class="py-name" href="#" onclick="return doclink('link-14', 'True', 'link-14');">True</a></tt><tt class="py-op">)</tt> <tt class="py-keyword">for</tt> <tt class="py-name">seg</tt> <tt class="py-keyword">in</tt> <tt class="py-name">segs</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
</div><a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line"> </tt>
<a name="geoPointInsideBox"></a><div id="geoPointInsideBox-def"><a name="L108"></a><tt class="py-lineno">108</tt> <a class="py-toggle" href="#" id="geoPointInsideBox-toggle" onclick="return toggle('geoPointInsideBox');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoPointInsideBox">geoPointInsideBox</a><tt class="py-op">(</tt><tt class="py-param">p</tt><tt class="py-op">,</tt> <tt class="py-param">edges</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoPointInsideBox-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoPointInsideBox-expanded"><a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line"><tt class="py-docstring">    returns True only if p lies inside or on the sides of box</tt> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line">    <tt class="py-name">y</tt><tt class="py-op">,</tt><tt id="link-15" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-15', 'x', 'link-2');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">p</tt> </tt>
<a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line">    <tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt> <tt class="py-op">=</tt> <tt class="py-name">edges</tt> </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">y0</tt><tt class="py-op">&gt;</tt><tt class="py-name">y1</tt><tt class="py-op">:</tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line">        <tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">y1</tt> <tt class="py-op">=</tt> <tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">y0</tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">x0</tt><tt class="py-op">&gt;</tt><tt class="py-name">x1</tt><tt class="py-op">:</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line">        <tt class="py-name">x0</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt> <tt class="py-op">=</tt> <tt class="py-name">x1</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">x0</tt><tt class="py-op">&lt;=</tt><tt id="link-16" class="py-name"><a title="Priithon.viewer.x
Priithon.viewer2.x
Priithon.viewerCommon.x" class="py-name" href="#" onclick="return doclink('link-16', 'x', 'link-2');">x</a></tt><tt class="py-op">&lt;=</tt><tt class="py-name">x1</tt> <tt class="py-keyword">and</tt> <tt class="py-name">y0</tt><tt class="py-op">&lt;=</tt><tt class="py-name">y</tt><tt class="py-op">&lt;=</tt><tt class="py-name">y1</tt> </tt>
</div><a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"> </tt>
<a name="geoSeqsBoundingBox"></a><div id="geoSeqsBoundingBox-def"><a name="L121"></a><tt class="py-lineno">121</tt> <a class="py-toggle" href="#" id="geoSeqsBoundingBox-toggle" onclick="return toggle('geoSeqsBoundingBox');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoSeqsBoundingBox">geoSeqsBoundingBox</a><tt class="py-op">(</tt><tt class="py-param">segs</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoSeqsBoundingBox-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoSeqsBoundingBox-expanded"><a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line"><tt class="py-docstring">    return corners (LB+TR) of smallest box containing all segments in segs</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line">    <tt class="py-name">yMin</tt> <tt class="py-op">=</tt> <tt class="py-number">1e100</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line">    <tt class="py-name">yMax</tt> <tt class="py-op">=</tt><tt class="py-op">-</tt><tt class="py-number">1e100</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line">    <tt class="py-name">xMin</tt> <tt class="py-op">=</tt> <tt class="py-number">1e100</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line">    <tt class="py-name">xMax</tt> <tt class="py-op">=</tt><tt class="py-op">-</tt><tt class="py-number">1e100</tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">s</tt> <tt class="py-keyword">in</tt> <tt class="py-name">segs</tt><tt class="py-op">:</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line">        <tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt> <tt class="py-op">=</tt> <tt class="py-name">s</tt> </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line"> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line">        <tt class="py-name">yMax</tt> <tt class="py-op">=</tt> <tt id="link-17" class="py-name" targets="Function Priithon.useful.max()=Priithon.useful-module.html#max"><a title="Priithon.useful.max" class="py-name" href="#" onclick="return doclink('link-17', 'max', 'link-17');">max</a></tt><tt class="py-op">(</tt><tt class="py-name">yMax</tt><tt class="py-op">,</tt> <tt class="py-name">y0</tt><tt class="py-op">)</tt> </tt>
<a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line">        <tt class="py-name">yMin</tt> <tt class="py-op">=</tt> <tt id="link-18" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-18', 'min', 'link-12');">min</a></tt><tt class="py-op">(</tt><tt class="py-name">yMin</tt><tt class="py-op">,</tt> <tt class="py-name">y0</tt><tt class="py-op">)</tt>             </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line">        <tt class="py-name">yMax</tt> <tt class="py-op">=</tt> <tt id="link-19" class="py-name"><a title="Priithon.useful.max" class="py-name" href="#" onclick="return doclink('link-19', 'max', 'link-17');">max</a></tt><tt class="py-op">(</tt><tt class="py-name">yMax</tt><tt class="py-op">,</tt> <tt class="py-name">y1</tt><tt class="py-op">)</tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line">        <tt class="py-name">yMin</tt> <tt class="py-op">=</tt> <tt id="link-20" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-20', 'min', 'link-12');">min</a></tt><tt class="py-op">(</tt><tt class="py-name">yMin</tt><tt class="py-op">,</tt> <tt class="py-name">y1</tt><tt class="py-op">)</tt>             </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line"> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line">        <tt class="py-name">xMax</tt> <tt class="py-op">=</tt> <tt id="link-21" class="py-name"><a title="Priithon.useful.max" class="py-name" href="#" onclick="return doclink('link-21', 'max', 'link-17');">max</a></tt><tt class="py-op">(</tt><tt class="py-name">xMax</tt><tt class="py-op">,</tt> <tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line">        <tt class="py-name">xMin</tt> <tt class="py-op">=</tt> <tt id="link-22" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-22', 'min', 'link-12');">min</a></tt><tt class="py-op">(</tt><tt class="py-name">xMin</tt><tt class="py-op">,</tt> <tt class="py-name">x0</tt><tt class="py-op">)</tt>             </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line">        <tt class="py-name">xMax</tt> <tt class="py-op">=</tt> <tt id="link-23" class="py-name"><a title="Priithon.useful.max" class="py-name" href="#" onclick="return doclink('link-23', 'max', 'link-17');">max</a></tt><tt class="py-op">(</tt><tt class="py-name">xMax</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">)</tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line">        <tt class="py-name">xMin</tt> <tt class="py-op">=</tt> <tt id="link-24" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-24', 'min', 'link-12');">min</a></tt><tt class="py-op">(</tt><tt class="py-name">xMin</tt><tt class="py-op">,</tt> <tt class="py-name">x1</tt><tt class="py-op">)</tt>             </tt>
<a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line"> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">import</tt> <tt class="py-name">array</tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">yMin</tt><tt class="py-op">,</tt><tt class="py-name">xMin</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">yMax</tt><tt class="py-op">,</tt><tt class="py-name">xMax</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line"> </tt>
<a name="geoPointsBoundingBox"></a><div id="geoPointsBoundingBox-def"><a name="L145"></a><tt class="py-lineno">145</tt> <a class="py-toggle" href="#" id="geoPointsBoundingBox-toggle" onclick="return toggle('geoPointsBoundingBox');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoPointsBoundingBox">geoPointsBoundingBox</a><tt class="py-op">(</tt><tt class="py-param">points</tt><tt class="py-op">,</tt> <tt class="py-param">intCoords</tt><tt class="py-op">=</tt><tt id="link-25" class="py-name"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-25', 'False', 'link-4');">False</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoPointsBoundingBox-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoPointsBoundingBox-expanded"><a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line"><tt class="py-docstring">    return corners (LB+TR) of smallest box containing all points</tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line"><tt class="py-docstring">    if intCoords:</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line"><tt class="py-docstring">        use int(...) for lower and int(...)+1 for upper bounds</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line">    <tt class="py-name">yMin</tt> <tt class="py-op">=</tt> <tt class="py-number">1e100</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line">    <tt class="py-name">yMax</tt> <tt class="py-op">=</tt><tt class="py-op">-</tt><tt class="py-number">1e100</tt> </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line">    <tt class="py-name">xMin</tt> <tt class="py-op">=</tt> <tt class="py-number">1e100</tt> </tt>
<a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line">    <tt class="py-name">xMax</tt> <tt class="py-op">=</tt><tt class="py-op">-</tt><tt class="py-number">1e100</tt> </tt>
<a name="L155"></a><tt class="py-lineno">155</tt>  <tt class="py-line">    <tt class="py-keyword">for</tt> <tt class="py-name">p</tt> <tt class="py-keyword">in</tt> <tt class="py-name">points</tt><tt class="py-op">:</tt> </tt>
<a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line">        <tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> <tt class="py-op">=</tt> <tt class="py-name">p</tt> </tt>
<a name="L157"></a><tt class="py-lineno">157</tt>  <tt class="py-line"> </tt>
<a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line">        <tt class="py-name">yMax</tt> <tt class="py-op">=</tt> <tt id="link-26" class="py-name"><a title="Priithon.useful.max" class="py-name" href="#" onclick="return doclink('link-26', 'max', 'link-17');">max</a></tt><tt class="py-op">(</tt><tt class="py-name">yMax</tt><tt class="py-op">,</tt> <tt class="py-name">y0</tt><tt class="py-op">)</tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line">        <tt class="py-name">yMin</tt> <tt class="py-op">=</tt> <tt id="link-27" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-27', 'min', 'link-12');">min</a></tt><tt class="py-op">(</tt><tt class="py-name">yMin</tt><tt class="py-op">,</tt> <tt class="py-name">y0</tt><tt class="py-op">)</tt>             </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line"> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line">        <tt class="py-name">xMax</tt> <tt class="py-op">=</tt> <tt id="link-28" class="py-name"><a title="Priithon.useful.max" class="py-name" href="#" onclick="return doclink('link-28', 'max', 'link-17');">max</a></tt><tt class="py-op">(</tt><tt class="py-name">xMax</tt><tt class="py-op">,</tt> <tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line">        <tt class="py-name">xMin</tt> <tt class="py-op">=</tt> <tt id="link-29" class="py-name"><a title="Priithon.useful.min" class="py-name" href="#" onclick="return doclink('link-29', 'min', 'link-12');">min</a></tt><tt class="py-op">(</tt><tt class="py-name">xMin</tt><tt class="py-op">,</tt> <tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line"> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">intCoords</tt><tt class="py-op">:</tt> </tt>
<a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line">        <tt class="py-name">yMax</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">yMax</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-number">1</tt> </tt>
<a name="L166"></a><tt class="py-lineno">166</tt>  <tt class="py-line">        <tt class="py-name">xMax</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">xMax</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-number">1</tt> </tt>
<a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line">        <tt class="py-name">yMin</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">yMin</tt><tt class="py-op">)</tt> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line">        <tt class="py-name">xMin</tt> <tt class="py-op">=</tt> <tt class="py-name">int</tt><tt class="py-op">(</tt><tt class="py-name">xMin</tt><tt class="py-op">)</tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line">    <tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">import</tt> <tt class="py-name">array</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">yMin</tt><tt class="py-op">,</tt><tt class="py-name">xMin</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">yMax</tt><tt class="py-op">,</tt><tt class="py-name">xMax</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L171"></a><tt class="py-lineno">171</tt>  <tt class="py-line"> </tt>
<a name="geoGetPointsOfCenteredBox"></a><div id="geoGetPointsOfCenteredBox-def"><a name="L172"></a><tt class="py-lineno">172</tt> <a class="py-toggle" href="#" id="geoGetPointsOfCenteredBox-toggle" onclick="return toggle('geoGetPointsOfCenteredBox');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoGetPointsOfCenteredBox">geoGetPointsOfCenteredBox</a><tt class="py-op">(</tt><tt class="py-param">cyx</tt><tt class="py-op">,</tt> <tt class="py-param">sy</tt><tt class="py-op">,</tt> <tt class="py-param">sx</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">clockwise</tt><tt class="py-op">=</tt><tt id="link-30" class="py-name"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-30', 'False', 'link-4');">False</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoGetPointsOfCenteredBox-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoGetPointsOfCenteredBox-expanded"><a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L174"></a><tt class="py-lineno">174</tt>  <tt class="py-line"><tt class="py-docstring">    return list of 4 pt-pairs</tt> </tt>
<a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line"><tt class="py-docstring">    4 corners of box centered at `cyx`,</tt> </tt>
<a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line"><tt class="py-docstring">    side lengths are `sy`, `sx` </tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line"><tt class="py-docstring">    if `sx` is None, it defaults to `sy`</tt> </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line"><tt class="py-docstring">    if clockwise: 2nd and 4th point will be swapped (-&gt; mathematical negatve order)</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">sx</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line">        <tt class="py-name">sx</tt><tt class="py-op">=</tt><tt class="py-name">sy</tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line">    <tt class="py-name">sx2</tt><tt class="py-op">=</tt><tt class="py-name">sx</tt><tt class="py-op">/</tt><tt class="py-number">2</tt> </tt>
<a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line">    <tt class="py-name">sy2</tt><tt class="py-op">=</tt><tt class="py-name">sy</tt><tt class="py-op">/</tt><tt class="py-number">2</tt> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line">    <tt class="py-name">y0</tt><tt class="py-op">=</tt><tt class="py-name">cyx</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-name">sy2</tt> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line">    <tt class="py-name">y1</tt><tt class="py-op">=</tt><tt class="py-name">y0</tt><tt class="py-op">+</tt><tt class="py-name">sy</tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line">    <tt class="py-name">x0</tt><tt class="py-op">=</tt><tt class="py-name">cyx</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">-</tt><tt class="py-name">sx2</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line">    <tt class="py-name">x1</tt><tt class="py-op">=</tt><tt class="py-name">x0</tt><tt class="py-op">+</tt><tt class="py-name">sx</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">clockwise</tt><tt class="py-op">:</tt> </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
</div><a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line"> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line"> </tt>
<a name="geoGetPointsOfBox"></a><div id="geoGetPointsOfBox-def"><a name="L195"></a><tt class="py-lineno">195</tt> <a class="py-toggle" href="#" id="geoGetPointsOfBox-toggle" onclick="return toggle('geoGetPointsOfBox');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="Priithon.usefulGeo-module.html#geoGetPointsOfBox">geoGetPointsOfBox</a><tt class="py-op">(</tt><tt class="py-param">yx0</tt><tt class="py-op">,</tt><tt class="py-param">yx1</tt><tt class="py-op">,</tt> <tt class="py-param">clockwise</tt><tt class="py-op">=</tt><tt id="link-31" class="py-name"><a title="Priithon.wxPyPlot.False" class="py-name" href="#" onclick="return doclink('link-31', 'False', 'link-4');">False</a></tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="geoGetPointsOfBox-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="geoGetPointsOfBox-expanded"><a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line">    <tt class="py-docstring">"""</tt> </tt>
<a name="L197"></a><tt class="py-lineno">197</tt>  <tt class="py-line"><tt class="py-docstring">    return list of 4 pt-pairs</tt> </tt>
<a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line"><tt class="py-docstring">    4 corners of box with corners yx0, yx1</tt> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line"><tt class="py-docstring">    side lengths are `sy`, `sx` </tt> </tt>
<a name="L200"></a><tt class="py-lineno">200</tt>  <tt class="py-line"><tt class="py-docstring">    if `sx` is None, it defaults to `sy`</tt> </tt>
<a name="L201"></a><tt class="py-lineno">201</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line"><tt class="py-docstring">    if clockwise: 2nd and 4th point will be swapped (-&gt; mathematical negatve order)</tt> </tt>
<a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L204"></a><tt class="py-lineno">204</tt>  <tt class="py-line">    <tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt> <tt class="py-op">=</tt> <tt class="py-name">yx0</tt> </tt>
<a name="L205"></a><tt class="py-lineno">205</tt>  <tt class="py-line">    <tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt> <tt class="py-op">=</tt> <tt class="py-name">yx1</tt> </tt>
<a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">clockwise</tt><tt class="py-op">:</tt> </tt>
<a name="L207"></a><tt class="py-lineno">207</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
<a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line">    <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">[</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y0</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x1</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">y1</tt><tt class="py-op">,</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt><tt class="py-op">]</tt> </tt>
</div><a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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